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Simplifying (-5i) + (-6 + -2i) = 0 Remove parenthesis around (-6 + -2i) (-5i) + -6 + -2i = 0 Reorder the terms: -6 + (-5i) + -2i = 0 Combine like terms: (-5i) + -2i = -7i -6 + -7i = 0 Solving -6 + -7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7i = 0 + 6 -7i = 0 + 6 Combine like terms: 0 + 6 = 6 -7i = 6 Divide each side by '-7'. i = -0.8571428571 Simplifying i = -0.8571428571
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